Answer
$$\left(-6,\:2\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(-4-\left(-8\right)\right)^2+\left(-1-5\right)^2}\\ 2\sqrt{13}$$
Using the midpoint formula, we find:
$$\left(\frac{-4-8}{2},\:\frac{-1+5}{2}\right)\\ \left(-6,\:2\right)$$